1. 1.13
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits,
Accuracy, and Precision
MATH1003

2. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Goal
To be able to define the concepts of significant digits,
accuracy, and precision with respect to numbers.
MATH1003

3. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
“A crowd of 7,000 people had gathered to watch the
parade.”
MATH1003

4. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
“They planted 2,124 daffodils this year.”
MATH1003

5. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
7000 2214
The number of important, or “significant,” digits in these
numbers are different.
MATH1003

6. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
7000 2214
In 7000, there is only one significant digit.
MATH1003

7. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
7000 2214
In 7000, there is only one significant digit.
MATH1003

8. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
7000 2214
In 7000, there is only one significant digit.
In 2214, there are four significant digits.
MATH1003

9. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
MATH1003

10. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
Rules
MATH1003

11. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
Rules
❖ All non-zero digits are significant.
MATH1003

12. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two
significant digits.
MATH1003

13. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two
significant digits.
❖ Leading 0s are not significant.
MATH1003

14. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two
significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains
a decimal point.
MATH1003

15. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

16. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
527
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

17. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
527
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

18. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
527
527 has 3 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

19. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
527
527 has 3 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

20. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
527
527 has 3 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

21. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
527
527 has 3 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

22. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
-5,032
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

23. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
-5,032
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

24. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
-5,032
-5,032 has 4 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

25. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
-5,032
-5,032 has 4 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

26. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
-5,032
-5,032 has 4 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

27. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
-5,032
-5,032 has 4 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

28. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
-5,032
-5,032 has 4 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

29. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
3.68
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

30. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
3.68
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

31. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
3.68
3.68 has 3 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

32. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
3.68
3.68 has 3 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

33. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
3.68
3.68 has 3 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

34. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
3.68
3.68 has 3 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

35. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
-0.0019
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

36. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
-0.0019
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

37. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
-0.0019
-0.0019 has 2 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

38. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
-0.0019
-0.0019 has 2 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

39. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
-0.0019
-0.0019 has 2 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

40. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
15,009
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

41. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
15,009
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

42. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
15,009
15,009 has 5 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

43. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
15,009
15,009 has 5 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

44. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
15,009
15,009 has 5 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

45. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
15,009
15,009 has 5 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

46. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
15,009
15,009 has 5 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

47. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
15,009
15,009 has 5 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

48. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
23.004
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

49. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
23.004
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

50. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
23.004
23.004 has 5 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

51. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
23.004
23.004 has 5 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

52. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
23.004
23.004 has 5 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

53. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
23.004
23.004 has 5 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

54. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
23.004
23.004 has 5 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

55. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
23.004
23.004 has 5 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

56. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
-27,500
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

57. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
-27,500
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

58. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
-27,500
-27,500 has 3 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

59. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
-27,500
-27,500 has 3 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

60. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
-27,500
-27,500 has 3 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

61. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
-27,500
-27,500 has 3 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

62. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
3,000.00
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

63. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
3,000.00
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

64. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
3,000.00
3,000.00 has 6 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

65. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
3,000.00
3,000.00 has 6 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

66. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
3,000.00
3,000.00 has 6 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

67. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
3,000.00
3,000.00 has 6 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

68. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
3,000.00
3,000.00 has 6 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

69. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
3,000.00
3,000.00 has 6 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

70. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits
3,000.00
3,000.00 has 6 significant digits
Rules
❖ All non-zero digits are significant.
❖ Zero (0) is a significant digit if it is between two significant digits.
❖ Leading 0s are not significant.
❖ Trailing 0s are significant only if the number contains a decimal point.
MATH1003

71. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Accuracy
MATH1003

72. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Accuracy
Definition
The accuracy of a number is the number of significant
digits in the number.
MATH1003

73. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Accuracy
Definition
The accuracy of a number is the number of significant
digits in the number.
3.02
MATH1003

74. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Accuracy
Definition
Definition
The accuracy of a number is the number of significant
digits in the number.
3.02
This number is accurate to 3 significant digits.
MATH1003

75. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Accuracy
Definition
Definition
The accuracy of a number is the number of significant
digits in the number.
MATH1003

76. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Accuracy
Definition
Definition
The accuracy of a number is the number of significant
digits in the number.
-1,470
MATH1003

77. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Accuracy
Definition
Definition
The accuracy of a number is the number of significant
digits in the number.
-1,470
This number is accurate to 3 significant digits.
MATH1003

78. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision
MATH1003

79. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision
Definition
The precision of a number is the place value of the
rightmost significant digit.
MATH1003

80. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision
Definition
The precision of a number is the place value of the
rightmost significant digit.
3.02
MATH1003

81. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision
Definition
Definition
The precision of a number is the place value of the
rightmost significant digit.
3.02
This number has a precision of 0.01
MATH1003

82. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision
Definition
Definition
The precision of a number is the place value of the
rightmost significant digit.
3.02
This number has a precision of 0.01
MATH1003

83. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision
Definition
Definition
The precision of a number is the place value of the
rightmost significant digit.
-1,470
MATH1003

84. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision
Definition
Definition
The precision of a number is the place value of the
rightmost significant digit.
-1,470
This number has a precision of 10
MATH1003

85. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision
Definition
Definition
The precision of a number is the place value of the
rightmost significant digit.
-1,470
This number has a precision of 10
MATH1003

86. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision
Definition
Definition
The precision of a number is the place value of the
rightmost significant digit.
-0.006043
MATH1003

87. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision
Definition
Definition
The precision of a number is the place value of the
rightmost significant digit.
-0.006043
This number has a precision of 0.000001 or 10-6
MATH1003

88. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision
Definition
Definition
The precision of a number is the place value of the
rightmost significant digit.
-0.006043
This number has a precision of 0.000001 or 10-6
MATH1003

89. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
MATH1003

90. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
On Monday, the Canadian dollar was trading against the US
dollar at 0.9985
MATH1003

91. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
On Monday, the Canadian dollar was trading against the US
dollar at 0.9985
What is the accuracy and precision of the exchange rate?
Accuracy ______ Precision ________________________
MATH1003

92. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
On Monday, the Canadian dollar was trading against the US
dollar at 0.9985
What is the accuracy and precision of the exchange rate?
Accuracy ______ Precision ________________________
MATH1003

93. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
On Monday, the Canadian dollar was trading against the US
dollar at 0.9985
What is the accuracy and precision of the exchange rate?
4
Accuracy ______ Precision ________________________
MATH1003

94. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
On Monday, the Canadian dollar was trading against the US
dollar at 0.9985
What is the accuracy and precision of the exchange rate?
4
Accuracy ______ Precision ________________________
MATH1003

95. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
On Monday, the Canadian dollar was trading against the US
dollar at 0.9985
What is the accuracy and precision of the exchange rate?
4
Accuracy ______ Precision ________________________ -4 .0001 or 10
MATH1003

96. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
MATH1003

97. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
On this sign, it is posted that the population of Toronto is
2,482,000
MATH1003

98. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
On this sign, it is posted that the population of Toronto is
2,482,000
What is the accuracy and precision of the polpulation count?
Accuracy ______ Precision ________________________
MATH1003

99. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
On this sign, it is posted that the population of Toronto is
2,482,000
What is the accuracy and precision of the polpulation count?
Accuracy ______ Precision ________________________
MATH1003

100. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
On this sign, it is posted that the population of Toronto is
2,482,000
What is the accuracy and precision of the polpulation count?
4
Accuracy ______ Precision ________________________
MATH1003

101. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
On this sign, it is posted that the population of Toronto is
2,482,000
What is the accuracy and precision of the polpulation count?
4
Accuracy ______ Precision ________________________
MATH1003

102. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
On this sign, it is posted that the population of Toronto is
2,482,000
What is the accuracy and precision of the polpulation count?
4
Accuracy ______ Precision ________________________ 3 1000 or 10
MATH1003

103. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
MATH1003

104. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
The distance between Toronto, Canada and Dublin, Ireland is
5300 kilometers
MATH1003

105. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
The distance between Toronto, Canada and Dublin, Ireland is
5300 kilometers
MATH1003

106. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
The distance between Toronto, Canada and Dublin, Ireland is
5300 kilometers
MATH1003

107. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
The distance between Toronto, Canada and Dublin, Ireland is
5300 kilometers
What is the accuracy and precision of the distance?
Accuracy ______ Precision ________________________
MATH1003

108. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
The distance between Toronto, Canada and Dublin, Ireland is
5300 kilometers
What is the accuracy and precision of the distance?
Accuracy ______ Precision ________________________
MATH1003

109. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
The distance between Toronto, Canada and Dublin, Ireland is
5300 kilometers
What is the accuracy and precision of the distance?
2
Accuracy ______ Precision ________________________
MATH1003

110. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
The distance between Toronto, Canada and Dublin, Ireland is
5300 kilometers
What is the accuracy and precision of the distance?
2
Accuracy ______ Precision ________________________
MATH1003

111. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
The distance between Toronto, Canada and Dublin, Ireland is
5300 kilometers
What is the accuracy and precision of the distance?
2
Accuracy ______ Precision ________________________ 2 100 or 10
MATH1003

112. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
MATH1003

113. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
In a previous federal election, the percentage of registered
voters that voted was 64.9
MATH1003

114. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
In a previous federal election, the percentage of registered
voters that voted was 64.9
What is the accuracy and precision of the percentage?
Accuracy ______ Precision ________________________
MATH1003

115. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
In a previous federal election, the percentage of registered
voters that voted was 64.9
What is the accuracy and precision of the percentage?
Accuracy ______ Precision ________________________
MATH1003

116. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
In a previous federal election, the percentage of registered
voters that voted was 64.9
What is the accuracy and precision of the percentage?
3
Accuracy ______ Precision ________________________
MATH1003

117. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
In a previous federal election, the percentage of registered
voters that voted was 64.9
What is the accuracy and precision of the percentage?
3
Accuracy ______ Precision ________________________
MATH1003

118. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises
In a previous federal election, the percentage of registered
voters that voted was 64.9
What is the accuracy and precision of the percentage?
3
Accuracy ______ Precision ________________________ -1 0.1 or 10
MATH1003